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20101110111110 = 25717312572120207
BaseRepresentation
bin1001001001000001001111…
…00001110001101110000110
32122011122110220222100001202
410210200213201301232012
510113314033142023420
6110430153354422502
74143154150544630
oct444404741615606
978148426870052
1020101110111110
11644a918694036
122307891131a32
13b2a6acaa4452
144d6c828cda50
1524cd217a2575
hex124827871b86

20101110111110 has 128 divisors (see below), whose sum is σ = 45371501346816. Its totient is φ = 6252741918720.

The previous prime is 20101110111077. The next prime is 20101110111113. The reversal of 20101110111110 is 1111101110102.

It is a happy number.

20101110111110 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 20101110111091 and 20101110111100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101110111113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8420627 + ... + 10540833.

It is an arithmetic number, because the mean of its divisors is an integer number (354464854272).

Almost surely, 220101110111110 is an apocalyptic number.

20101110111110 is an abundant number, since it is smaller than the sum of its proper divisors (25270391235706).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20101110111110 is a wasteful number, since it uses less digits than its factorization.

20101110111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120526.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 20101110111110 its reverse (1111101110102), we get a palindrome (21212211221212).

The spelling of 20101110111110 in words is "twenty trillion, one hundred one billion, one hundred ten million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 17 31 34 35 62 70 85 119 155 170 217 238 257 310 434 514 527 595 1054 1085 1190 1285 1799 2170 2570 2635 3598 3689 4369 5270 7378 7967 8738 8995 15934 17990 18445 21845 30583 36890 39835 43690 55769 61166 79670 111538 135439 152915 270878 278845 305830 557690 677195 948073 1354390 1896146 2120207 4240414 4740365 9480730 10601035 14841449 21202070 29682898 36043519 65726417 72087038 74207245 131452834 148414490 180217595 252304633 328632085 360435190 460084919 504609266 544893199 657264170 920169838 1089786398 1117349089 1261523165 2234698178 2300424595 2523046330 2724465995 3814252393 4600849190 5448931990 5586745445 7628504786 7821443623 9263184383 11173490890 15642887246 16891689169 18526368766 19071261965 33783378338 38142523930 39107218115 46315921915 64842290681 78214436230 84458445845 92631843830 118241824183 129684581362 168916891690 236483648366 287158715873 324211453405 574317431746 591209120915 648422906810 1182418241830 1435793579365 2010111011111 2871587158730 4020222022222 10050555055555 20101110111110